Answers created by Timber Lin

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For which function does the integral integral 0^3 sqrt(1+16e^4x)dx give the length of the curve on the interval [0,3] ?
Using the graph of $f (x) = 2 x^{3} + x^{2} - 3 x + 1$ $f(x) = 2x^3 + x^2 - 3x+1$ , what is the average rate of change from $x = - 2$ $x=-2$ to $x = 0$ $x=0$ ?
What is the derivative of $v = \frac{1}{3} π r^{2} h$ $v=1/3pir^2h$ ?
What is the radius of convergence of $\infty \sum 1 \frac{x^{n}}{6^{n}}$ $sum_1^oo (x^n ) / 6^n$ ?
How do you differentiate $3 {sin}^{2} (3 x)$ $3sin^2(3x)$ using the chain rule?
How do you evaluate the definite integral $\int (- 3 v + 4) d v$ $int (-3v+4)dv$ from [2,5]?
What is the area between the graphs?
Find the interval & radius of convergence for the power series in #1b?
Please help me with calculus?
How do you differentiate $f (x) = (x^{2} + x) (x - 1)$ $f(x)=(x^2+x)(x-1)$ using the product rule?
What are the points of inflection, if any, of $f (x) = 5 x^{3} + 30 x^{2} - 432 x$ $f(x) = 5x^3 + 30x^2 - 432x$ ?
How do you differentiate $y = \frac{\sqrt{cos x}}{5 ln x}$ $y = (sqrt(cos x))/(5lnx)$ ?
What is the slope of the tangent line of $e^{x} - \frac{1}{{(x + y)}^{2}} = C$ $e^x-1/(x+y)^2= C$ , where C is an arbitrary constant, at $(3, 1)$ $(3,1)$ ?
Evaluate the integration of ;( sin(8Inx) all devided by x)dx?
Find the arc length of the function $y = \frac{1}{2} (e^{x} + e^{- x})$ $y=1/2(e^x+e^-x)$ with parameters $0 \leq x \leq 2$ $0\lex\le2$ ?
Which term if the linear term in the equation $y = 2 x^{2} - 3 x + 5$ $y=2x^2-3x+5$ ?
How do you implicitly differentiate $x y - y ln (x - y) = 4 - x$ $xy- yln(x-y)= 4-x$ ?
What is $\int \frac{sin x}{{cos}^{2} x} d x$ $int(sinx)/(cos^2 x) dx$ ?
How do you differentiate $x^{7} - 8 x y + y^{4} = 7$ $x^7 - 8xy + y^4 = 7$ ?
What is the derivative of $sin (\frac{x}{2})$ $sin (x/2)$ ?
What is a solution to the differential equation dy/dx= y^2? (Please)
How to differentiate y= (ln x)/(1+ln x) ?
What is the first derivative of a complex surge function?
What is the equation of the line normal to $f (x) = \frac{4}{x^{3} - 1}$ $f(x)=4/(x^3-1)$ at $x = 0$ $x=0$ ?
$\int (\frac{2}{\sqrt{16 - 4 x^{2}}}$ $int(2/(sqrt(16-4x^2)$ dx=?
Let f(x) be a polynomial function such that f(-5)=1, f'(-5)=0, and f''(-5)= -2. the point (-5,1) is a ________ of the graph of f. what is the Blank?
Please solve int(3/x-cosx)dx?
How do you implicitly differentiate $1 = {(x^{2} - 2 y)}^{3}$ $1=(x^2-2y)^3$ ?
What is the limit as x approaches 0 of ${sin}^{2} (\frac{x}{x})$ $sin^2(x/x)$ ?
Find the limit lim x→0^+ (1+x^2)^1/x?
The length of a side of a cube is increasing at a rate of 4 inches per second. At what rate is the surface area increasing when the volume of the cube is 216 square inches ?
How do you find the derivative of $f (z) = e^{z} (cos z)$ $f(z)=e^z(cosz)$ ?
Rewrite the rectangular equation to a polar equation, y=2x^2, what would r(theta) equal?
How do you simplify $- 6 (- 11 i)$ $-6(-11i)$ ?
Which conic section has the polar equation $r = \frac{1}{1 - cos q}$ $r=1/(1-cosq)$ ?
How do you use the chain rule to differentiate $y = 2 {(x^{3} - x)}^{- 2}$ $y=2(x^3-x)^-2$ ?
2. Find the first 3 terms of the Taylor series for 𝑓(𝑥) = sin 𝜋𝑥 centered at 𝑎 = 0.5. Use your answer to find an approximate value to 𝑠𝑖𝑛 (𝜋/2+𝜋/10). How to do?
What is the fourth root of 1296?
How do you find $\lim _ { x \rightarrow \infty } ( \frac { 5x + 9} { 7x ^ { 2} - 2x + 1} )$ ?
How do you find the slope of a tangent line to the graph of the function $x^3 + y^3 – 6xy = 0$ , at (4/3, 8/3)?
If $f(x)={(ln3x", " 0<x<=3),(xln3", "3<x<=4) :}$ , then $lim_(xto3)f(x)$ is?
What is the equation of the line normal to $f(x)=1/(x-2)$ at $x=1$ ?
Suppose you are blowing a spherical bubble, filling it in with air at a uniform rate of 400mm^3/s. How fast is the radius of the bubble increasing by the time it is already 20mm long?
How do you differentiate $y=sin^-1(-2x^2)$ ?
Does anybody know how to solve the limit of $(x^x-x^{x^2})/(1-x)^2$ when $x->1$ ?
How to, using Taylor series approximation , estimate the value of π, when arctan(x) ≈ x-x3/3+x5/5-x7/7 ?
How to determine is $sum(-1)^n n/(n+1)$ absolutely convergent, conditionally convergent or neither?
What is the second derivative of $f(x)=csc(3x^2-x)$ ?
What is the limit of $|x|$ as $xrarroo?$
Evaluate? lim (5/(t√(1+t))-5/t)‎ t→0‎
Evaluate the limit $\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}$ ?
Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
Help find answer 18?
What is the instantaneous rate of change of $f(x)=1/(x^2-x+3 )$ at $x=0$ ?
Question #35b63
Question #54da5
What is the domain and range of $f(x) = ln (10-x)$ ?
How do you use the chain rule to differentiate $y=(x+2)^4$ ?
Question #41fff
What is the equation of the normal line of $f(x)= cotx$ at $x = pi/8$ ?
What is the equation of the line tangent to $f(x)=(-x^2-1)/(x+4)$ at $x=5$ ?
Question #99cca
What is $int (-2x^3-x^2+x+2 ) / (2x^2- x +3 )$ ?
Question #3c093
How do you solve $a(a+3)+a(a-6)+35=a(a-5)+a(a+7)$ ?
What are two consecutive even integers such that their sum is equal difference of three times the larger and two times the smaller?
How does the graph of the function $y=3sqrtx$ compare with the graph of the parent square root function?
Question #48746
How do you integrate $int e^(2x)sin(3x)$ by integration by parts method?
How do you find the limit $(x^3+4x+8)/(2x^3-2)$ as $x->1^+$ ?
Question #061a3
Question #34779
Question #e3d0f
How do you find the exact relative maximum and minimum of the polynomial function of $f(x) = x^3 + 4x^2 - 5x$ ?
How do you use the chain rule to differentiate $cos(10csc10x)$ ?
What is the standard form of $y= (x+7)(2x+15)-(x-7)^2$ ?
Question #3a12a
How do you find the volume of a solid that is enclosed by $y=x^2-2$ , $y=-2$ , and $x=2$ revolved about y=-2?
Question #90336
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 50 ft from the pole?
What is the equation of the normal line of $f(x)=xln(3^(1/x))$ at $x=0$ ?
How do you find the derivative of $f(x)=4/(sqrtx-5)$ using the limit definition?
What is the slope of the line normal to the tangent line of $f(x) = secx-cos^2(x-pi)$ at $x= (pi)/12$ ?
A particle travels at $2 units per$ second along the curve $y=x^3-3x^2+2$ . How long does it take to travel from the local maximum to the local minimum?
Question #da1c2
Question #08991
Question #7c49e
Question #923ff
Solve (x – 7)(x + 4) = 0. find x?
How do you solve $2( x - 6) > 5x - 4$ ?
How do you find the integral of $int (x-2)/((x+1)^2+4)$ ?
How do you calculate the average rate of change of $f(x) =x^2+3x-2$ on the interval $1<=x<=4$ ?
How do you find the derivative of $f(t)=(3^(2t))/t$ ?
How do you implicitly differentiate $sin x - cos y = e^(xy)sin x cos y$ ?
Could you differentiate this function? f(x)=6x^2ln(4x)
How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by $y = 1/x^4$ , y = 0, x = 1, x = 4 revolved about the x=-4?
How do you evaluate the definite integral $int_0^(oo)x^3e^(-x)dx$ ?
How do you use a graphing calculator to find the limit of the sequence $a_n=n^2/(n+1)$ ?
Question #05c1d
What is the domain of $f(x) = sqrt[cos(sinx)]$ ?
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